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Stochastic Ageing and Dependence for Reliability
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TLDR
A panoramic view of theory and applications of Ageing and dependence in the use of mathematical methods in reliability and survival analysis is provided in this paper, which serves as a reference for professors and researchers involved in reliability analysis.Abstract:
This book provides a panoramic view of theory and applications of Ageing and Dependence in the use of mathematical methods in reliability and survival analysis. Ageing and dependence are important characteristics in reliability and survival analysis. They affect decisions with regard to maintenance, repair/replacement, price setting, warranties, medical studies, and other areas. Most of the works containing the topics covered here are theoretical in nature. However, this book offers applications, exercises, and examples. It serves as a reference for professors and researchers involved in reliability and survival analysis.read more
Citations
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Reliability Engineering and System Safety
TL;DR: In this paper, a polynomial dimensional decomposition (PDD) method for global sensitivity analysis of stochastic systems subject to independent random input following arbitrary probability distributions is presented.
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Overview on Bayesian networks applications for dependability, risk analysis and maintenance areas
TL;DR: A bibliographical review over the last decade is presented on the application of Bayesian networks to dependability, risk analysis and maintenance and an increasing trend of the literature related to these domains is shown.
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Modeling dependent competing failure processes with degradation-shock dependence
TL;DR: A new reliability model for dependent competing failure processes (DCFPs) is developed, which accounts for degradation-shock dependence, a type of dependence where random shock processes are influenced by degradation processes.
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Exponentiated modified Weibull extension distribution
Ammar M. Sarhan,Joseph Apaloo +1 more
TL;DR: Two real data sets are analyzed using the new distribution, which show that the exponentiated modified Weibull extension distribution can be used quite effectively in fitting and analyzing real lifetime data.
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The Beta Generalized Weibull distribution: Properties and applications
TL;DR: The distribution is found to be superior to the existing sub models on being fitted to two real data sets and the non-linear equations for deriving the maximum likelihood estimators and the elements of the observed information matrix are presented.
References
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Breakthroughs in Statistics
Samuel Kotz,Norman L. Johnson +1 more
TL;DR: In this article, the authors present an algorithm for the machine calculation of complex Fourier series and their application to cancer of the lung, breast, and cervix, using Monte Carlo sampling.